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Given the following functions F(s), find f(t). Do not enter u(t) as part of your answers,...

Given the following functions F(s), find f(t). Do not enter u(t) as part of your answers, and do not use any truncated decimal approximations to fractions or they will be marked wrong (answers must be exact). E.g., enter (2/3), not 0.666.

(a) F(s) = s + 7 /(s(s + 3)(s + 8))

(b) F(s) = (s^2 + s + 6)/( s(s + 1)(s + 8))

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